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Finding the Fourth Proportional to 10,167.76, 15,225.72 and 4,960

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Solution

The fourth proportional to 10,167.76, 15,225.72 and 4,960 is: 7,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.76 : 15,225.72 = 4,960 : x
  2. Step 2: Convert to fraction form
    10,167.76/15,225.72 = 4,960/x
  3. Step 3: Cross multiply
    10,167.76x = 15,225.72 × 4,960
  4. Step 4: Simplify right side
    10,167.76x = 75,519,571.20
  5. Step 5: Solve for x
    x = 75,519,571.20/10,167.76
  6. Step 6: Final answer
    x = 7,427.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.